Augmented Phase Reduction of (Not So) Weakly Perturbed Coupled Oscillators
From MaRDI portal
Publication:5232335
DOI10.1137/18M1170558zbMath1419.70007OpenAlexW2944807899MaRDI QIDQ5232335
Publication date: 2 September 2019
Published in: SIAM Review (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/18m1170558
Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Dynamical systems methods for problems in mechanics (70G60) Biological rhythms and synchronization (92B25)
Related Items
The effects of background noise on a biophysical model of olfactory bulb mitral cells ⋮ Traveling waves in non-local pulse-coupled networks ⋮ Data-driven inference of low order representations of observable dynamics for an airfoil model ⋮ Phase-amplitude coordinate-based neural networks for inferring oscillatory dynamics ⋮ Reduced Order Characterization of Nonlinear Oscillations Using an Adaptive Phase-Amplitude Coordinate Framework ⋮ Phase-locked solutions of a coupled pair of nonidentical oscillators ⋮ Phase-amplitude dynamics in terms of extended response functions: invariant curves and Arnold tongues ⋮ Global phase-amplitude description of oscillatory dynamics via the parameterization method ⋮ A Continuation Approach to Computing Phase Resetting Curves ⋮ Resolving molecular contributions of ion channel noise to interspike interval variability through stochastic shielding ⋮ High-Order Accuracy Computation of Coupling Functions for Strongly Coupled Oscillators ⋮ Optimal Control of Oscillation Timing and Entrainment Using Large Magnitude Inputs: An Adaptive Phase-Amplitude-Coordinate-Based Approach ⋮ A data-driven phase and isostable reduced modeling framework for oscillatory dynamical systems ⋮ Optimal open-loop desynchronization of neural oscillator populations ⋮ Data-driven inference of high-accuracy isostable-based dynamical models in response to external inputs ⋮ Exploiting circadian memory to hasten recovery from circadian misalignment ⋮ Analysis of input-induced oscillations using the isostable coordinate framework ⋮ An Adaptive Phase-Amplitude Reduction Framework without $\mathcal{O}(\epsilon)$ Constraints on Inputs
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Minimum energy desynchronizing control for coupled neurons
- Chemical oscillations, waves, and turbulence
- Mathematical foundations of neuroscience
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Isochrons and phaseless sets
- Greater accuracy and broadened applicability of phase reduction using isostable coordinates
- Weakly coupled oscillators in a slowly varying world
- Origins and suppression of oscillations in a computational model of Parkinson's disease
- Phase-amplitude response functions for transient-state stimuli
- Isostables, isochrons, and Koopman spectrum for the action-angle representation of stable fixed point dynamics
- Multiple pulse interactions and averaging in systems of coupled neural oscillators
- A Fast Eulerian Approach for Computation of Global Isochrons in High Dimensions
- Continuation-based Computation of Global Isochrons
- A Computational and Geometric Approach to Phase Resetting Curves and Surfaces
- Higher order approximation of isochrons
- Spike-Timing Error Backpropagation in Theta Neuron Networks
- Parabolic Bursting in an Excitable System Coupled with a Slow Oscillation
- An Operational Definition of Phase Characterizes the Transient Response of Perturbed Limit Cycle Oscillators
- Phase-amplitude reduction of transient dynamics far from attractors for limit-cycling systems
- A Variational Method for Analyzing Stochastic Limit Cycle Oscillators
- Introduction to Applied Nonlinear Dynamical Systems and Chaos
- On the Phase Reduction and Response Dynamics of Neural Oscillator Populations
- Phase synchronization between collective rhythms of globally coupled oscillator groups: Noisy identical case
- The geometry of biological time.